Metrics for Numeric.AD.Rank1.Halley:findZero from ad-4.2.4

analyze233.0ms (2.2%)

Memory

-38.4MiB live, 415.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
31.3%	31.2%	68.6%	0.2%	0%	0%	0%	7
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
62.5%	62.4%	37.4%	0.2%	0%	0%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample2.0s (18.6%)

Memory

17.9MiB live, 1 976.3MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 691.0ms (56.1% of total)

ival-div: 431.0ms (35% of total)

ival-sub: 93.0ms (7.6% of total)

ival-true: 7.0ms (0.6% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess298.0ms (2.8%)

Memory

-6.1MiB live, 113.2MiB allocated

Algorithm

2×	egg-herbie

Rules

1 048×	`times-frac`
1 016×	`accelerator-lowering-fma.f32`
1 016×	`accelerator-lowering-fma.f64`
908×	`div-sub`
822×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	267
1	219	261
2	604	255
3	1960	255
4	4425	255
5	6251	255
6	7551	255
7	7811	255
8	7864	255
9	7899	255
0	13	17
1	30	17
2	72	17
3	187	17
4	384	17
5	684	17
6	1546	17
7	2292	17
8	2465	17
9	2519	17
10	2542	17
11	2544	17
12	2553	17
13	2565	17
14	2580	17
15	2580	17
0	2580	15

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))

Outputs

(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))

(fma.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) z #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 y t #s(literal 0 binary64)))) x)

Call 2

Inputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(- (neg x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(- x (/ (* (* (neg y) 2) z) (- (* (* z 2) z) (* (neg y) t))))
(- x (/ (* (* y 2) (neg z)) (- (* (* (neg z) 2) (neg z)) (* y t))))
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y (neg t)))))
(neg (- (neg x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))))
(neg (- x (/ (* (* (neg y) 2) z) (- (* (* z 2) z) (* (neg y) t)))))
(neg (- x (/ (* (* y 2) (neg z)) (- (* (* (neg z) 2) (neg z)) (* y t)))))
(neg (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y (neg t))))))
(- y (/ (* (* x 2) z) (- (* (* z 2) z) (* x t))))
(- z (/ (* (* y 2) x) (- (* (* x 2) x) (* y t))))
(- t (/ (* (* y 2) z) (- (* (* z 2) z) (* y x))))
(- x (/ (* (* z 2) y) (- (* (* y 2) y) (* z t))))
(- x (/ (* (* t 2) z) (- (* (* z 2) z) (* t y))))
(- x (/ (* (* y 2) t) (- (* (* t 2) t) (* y z))))

Outputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(+ x (* y (/ (* z -2) (- (* 2 (* z z)) (* y t)))))
(- (neg x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(- (* y (/ (* z -2) (- (* 2 (* z z)) (* y t)))) x)
(- x (/ (* (* (neg y) 2) z) (- (* (* z 2) z) (* (neg y) t))))
(+ x (/ (* y (* 2 z)) (+ (* 2 (* z z)) (* y t))))
(- x (/ (* (* y 2) (neg z)) (- (* (* (neg z) 2) (neg z)) (* y t))))
(+ x (* y (/ (* z -2) (+ (* y t) (* z (* z -2))))))
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y (neg t)))))
(+ x (/ (* y (* 2 z)) (- (* z (* z -2)) (* y t))))
(neg (- (neg x) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))))
(+ x (* y (/ (* z -2) (+ (* y t) (* z (* z -2))))))
(neg (- x (/ (* (* (neg y) 2) z) (- (* (* z 2) z) (* (neg y) t)))))
(- (/ (* y (* 2 z)) (- (* z (* z -2)) (* y t))) x)
(neg (- x (/ (* (* y 2) (neg z)) (- (* (* (neg z) 2) (neg z)) (* y t)))))
(- (* y (/ (* z -2) (- (* 2 (* z z)) (* y t)))) x)
(neg (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y (neg t))))))
(- (/ (* y (* 2 z)) (+ (* 2 (* z z)) (* y t))) x)
(- y (/ (* (* x 2) z) (- (* (* z 2) z) (* x t))))
(+ y (/ (* x (* 2 z)) (+ (* x t) (* z (* z -2)))))
(- z (/ (* (* y 2) x) (- (* (* x 2) x) (* y t))))
(+ z (/ (* x (* y 2)) (+ (* y t) (* x (* x -2)))))
(- t (/ (* (* y 2) z) (- (* (* z 2) z) (* y x))))
(+ t (/ (* y (* 2 z)) (+ (* x y) (* z (* z -2)))))
(- x (/ (* (* z 2) y) (- (* (* y 2) y) (* z t))))
(+ x (/ (* y (* 2 z)) (+ (* z t) (* y (* y -2)))))
(- x (/ (* (* t 2) z) (- (* (* z 2) z) (* t y))))
(+ x (/ (* z (* 2 t)) (+ (* y t) (* z (* z -2)))))
(- x (/ (* (* y 2) t) (- (* (* t 2) t) (* y z))))
(+ x (* y (/ (* 2 t) (+ (* y z) (* t (* t -2))))))

explain345.0ms (3.2%)

Memory

4.8MiB live, 240.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
86	1	(4.19222132418382e+165 3.0966212890729785e-58 1.5701536399365435e+265 -1.2847801375448666e-219)	1	(-5.4351213383305247e+48 1.3496032510141916e-271 -1.0401726504934446e-40 1.653001089242979e+47)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
3	0	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
0	0	-	0	-	`(*.f64 y t)`
0	0	-	0	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	0	-	0	-	`t`
0	0	-	0	-	`(.f64 (.f64 z #s(literal 2 binary64)) z)`
0	0	-	0	-	`z`
0	0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	0	-	0	-	`y`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	0	-	0	-	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/o	21	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	44
↳	`(*.f64 y t)`	overflow	26
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	94
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	78
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	5	0
↳	`(*.f64 y t)`	overflow	26
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	94
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	78
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	4	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	21
↳	`(*.f64 y t)`	underflow	25
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	4
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	47
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	4	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	44
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	3	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	78
↳	`(*.f64 y t)`	overflow	26
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	2	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	21

Confusion

	Predicted +	Predicted -
+	35	19
-	1	201

Precision

0.9722222222222222

Recall

0.6481481481481481

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	19
-	1	0	201

Precision?

0.9722222222222222

Recall?

0.6481481481481481

Freqs

test

number	freq
0	220
1	33
2	3

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

79.0ms

512×

valid

Compiler

Compiled 176 to 56 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 44.0ms (83.6% of total)

ival-sub: 4.0ms (7.6% of total)

ival-div: 3.0ms (5.7% of total)

ival-true: 1.0ms (1.9% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify105.0ms (1%)

Memory

-15.5MiB live, 103.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 (.f64 y #s(literal 2 binary64)) z)
✓	cost-diff	0	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
✓	cost-diff	192	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
✓	cost-diff	192	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Rules

1 048×	`times-frac`
1 016×	`accelerator-lowering-fma.f32`
1 016×	`accelerator-lowering-fma.f64`
792×	`-lowering-.f32`
792×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	30	65
2	72	65
3	187	65
4	384	65
5	684	65
6	1546	65
7	2292	65
8	2465	65
9	2519	65
10	2542	65
11	2544	65
12	2553	65
13	2565	65
14	2580	65
15	2580	65
0	2580	62

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
x
(/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))
(* (* y 2) z)
(* y 2)
y
2
z
(- (* (* z 2) z) (* y t))
(* (* z 2) z)
(* z 2)
(* y t)
t

Outputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(fma.f64 y (/.f64 (fma.f64 #s(literal 2 binary64) z #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 y t #s(literal 0 binary64)))) x)
x
(/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))
(/.f64 (fma.f64 y (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 y t #s(literal 0 binary64))))
(* (* y 2) z)
(fma.f64 y (fma.f64 #s(literal 2 binary64) z #s(literal 0 binary64)) #s(literal 0 binary64))
(* y 2)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
y
2
#s(literal 2 binary64)
z
(- (* (* z 2) z) (* y t))
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) t) #s(literal 0 binary64)))
(* (* z 2) z)
(fma.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(* z 2)
(fma.f64 #s(literal 2 binary64) z #s(literal 0 binary64))
(* y t)
(fma.f64 y t #s(literal 0 binary64))
t

localize37.0ms (0.3%)

Memory

3.7MiB live, 80.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
✓	accuracy	98.9%	(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
✓	accuracy	68.1%	(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))

Samples

22.0ms

256×

valid

Compiler

Compiled 67 to 15 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (66.7% of total)

ival-div: 2.0ms (16.7% of total)

ival-sub: 2.0ms (16.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-1.3MiB live, 45.4MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))>
#<alt (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))>
#<alt (- (* (* z 2) z) (* y t))>
#<alt (* (* y 2) z)>
#<alt (* y 2)>

Outputs
#<alt (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))>
#<alt x>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))>
#<alt (+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt (- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))>
#<alt (- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))>
#<alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))>
#<alt (- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))>
#<alt (+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))>
#<alt (- x (/ y z))>
#<alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))>
#<alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))>
#<alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))>
#<alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))>
#<alt (/ y z)>
#<alt (* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))>
#<alt (* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))>
#<alt (* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))>
#<alt (* -2 (/ z t))>
#<alt (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))>
#<alt (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))>
#<alt (+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))>
#<alt (* -2 (/ z t))>
#<alt (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))>
#<alt (+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))>
#<alt (+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))>
#<alt (* -2 (/ z t))>
#<alt (* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))>
#<alt (* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))>
#<alt (* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))>
#<alt (/ y z)>
#<alt (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)>
#<alt (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)>
#<alt (/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))>
#<alt (* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))>
#<alt (* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))>
#<alt (/ y z)>
#<alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))>
#<alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))>
#<alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))>
#<alt (* -2 (/ z t))>
#<alt (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)>
#<alt (/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)>
#<alt (/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)>
#<alt (* -2 (/ z t))>
#<alt (* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))>
#<alt (* -1 (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (- (* 2 (pow z 2)) (* t y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (* -1 (* t y))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* y (- (* 2 (/ (pow z 2) y)) t))>
#<alt (* -1 (* t y))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (+ (* -1 (* t y)) (* 2 (pow z 2)))>
#<alt (* -1 (* t y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* t (- (* 2 (/ (pow z 2) t)) y))>
#<alt (* -1 (* t y))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>
#<alt (* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 (* y z))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(* (* y 2) z)
1.0ms	x	@	0	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
1.0ms	z	@	inf	(/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))
1.0ms	z	@	0	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
1.0ms	y	@	inf	(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))

rewrite460.0ms (4.3%)

Memory

24.0MiB live, 817.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 416×	`accelerator-lowering-fma.f32`
8 416×	`accelerator-lowering-fma.f64`
6 098×	`-lowering-.f32`
6 098×	`-lowering-.f64`
3 214×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	63	49
2	533	49
3	7409	49
0	8775	46

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 400

Calls

Call 1

Inputs
(- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))))
(/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))
(- (* (* z 2) z) (* y t))
(* (* y 2) z)
(* y 2)

Outputs
(+.f64 x (/.f64 (.f64 y (.f64 #s(literal 2 binary64) z)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))
(+.f64 (/.f64 (.f64 y (.f64 #s(literal 2 binary64) z)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (.f64 (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y t))) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))))))))
(+.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64))))))))
(-.f64 x (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x))) (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (.f64 (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y t))) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64))))))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)) (/.f64 (.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (.f64 y (.f64 #s(literal 2 binary64) z)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))
(fma.f64 x (/.f64 x (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))))))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (.f64 (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y t))) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))))))
(fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 y t)))) x)
(fma.f64 y (neg.f64 (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 y (.f64 #s(literal 2 binary64) (/.f64 z (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 y (.f64 (.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 y (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 y (/.f64 (.f64 #s(literal 2 binary64) z) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (.f64 y z) (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 y t))))) x)
(fma.f64 #s(literal 2 binary64) (.f64 y (/.f64 z (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 y z) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 y z) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (.f64 y #s(literal 2 binary64)) (/.f64 z (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 z (/.f64 (.f64 y #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 y t)))) x)
(fma.f64 z (neg.f64 (/.f64 (.f64 y #s(literal -2 binary64)) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 z (.f64 (.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 z (.f64 (.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 z (/.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (.f64 y (.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (.f64 #s(literal 2 binary64) z) (.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
(fma.f64 (.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) #s(literal -1 binary64) x)
(fma.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (.f64 (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y t))) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))))))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 #s(literal 4 binary64) (.f64 y y))) (.f64 (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64))))))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (.f64 (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y t))) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))))))
(fma.f64 #s(literal 1 binary64) x (/.f64 (.f64 y (.f64 #s(literal 2 binary64) z)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 y (.f64 #s(literal 2 binary64) z)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (.f64 y (.f64 z #s(literal -2 binary64))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (/.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y t)))) (*.f64 y #s(literal -2 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (.f64 y #s(literal -2 binary64)) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (.f64 y (.f64 #s(literal 2 binary64) z)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (.f64 (fma.f64 (/.f64 (.f64 y (.f64 z #s(literal -2 binary64))) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (fma.f64 y (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) x) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (.f64 y t))) (.f64 (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (fma.f64 y t (.f64 (*.f64 z z) #s(literal -2 binary64)))))))))
(fma.f64 (.f64 y #s(literal -2 binary64)) (/.f64 z (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 y t)))) x)
(fma.f64 (/.f64 z (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (*.f64 y #s(literal 2 binary64)) x)
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 t (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64))))) (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))) (.f64 (.f64 y t) (.f64 y (.f64 y (*.f64 t t))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 t t)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 t t)))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 t t))))) (fma.f64 #s(literal 2 binary64) (.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 y t))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))) (.f64 (.f64 y t) (.f64 y (.f64 y (.f64 t t))))) (fma.f64 (.f64 y (.f64 t (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t)))) (.f64 (.f64 y t) (.f64 (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t)) (.f64 y (.f64 t (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t)))))) (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64)))))) (fma.f64 (.f64 y (.f64 t (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t)))) (-.f64 (.f64 y (.f64 t (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t)))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (*.f64 z z)) #s(literal 8 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))) (.f64 (.f64 y t) (.f64 y (.f64 y (.f64 t t))))) (.f64 (fma.f64 y (.f64 t (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t))) (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 y (.f64 t (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t))))))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 y (.f64 t (fma.f64 z (.f64 #s(literal 2 binary64) z) (.f64 y t))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 4 binary64))) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 (.f64 y t) (.f64 y (.f64 y (.f64 t t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal 8 binary64))))) (fma.f64 (.f64 y t) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))) (.f64 (.f64 z z) (.f64 (*.f64 z z) #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -2 binary64))))
(neg.f64 (.f64 y (.f64 z #s(literal -2 binary64))))
(.f64 y (.f64 #s(literal 2 binary64) z))
(.f64 y (neg.f64 (.f64 z #s(literal -2 binary64))))
(.f64 y (.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 y z))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 y z) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 2 binary64)) z)
(.f64 (.f64 y #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(.f64 (.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal 1 binary64)))
(.f64 z (.f64 y #s(literal 2 binary64)))
(.f64 z (neg.f64 (.f64 y #s(literal -2 binary64))))
(.f64 z (.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 y (*.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) z) y)
(.f64 (.f64 #s(literal 2 binary64) z) (*.f64 y #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 z #s(literal -2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (*.f64 z #s(literal -2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y #s(literal -2 binary64)))
(.f64 (.f64 y #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) z))
(.f64 (.f64 y z) #s(literal 2 binary64))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (.f64 y #s(literal 2 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal -2 binary64))) z)
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (.f64 #s(literal 2 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 2 binary64) z))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))) z)
(.f64 (.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) z)) y)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)

simplify411.0ms (3.8%)

Memory

28.8MiB live, 771.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 952×	`accelerator-lowering-fma.f32`
10 952×	`accelerator-lowering-fma.f64`
5 728×	`-lowering-.f32`
5 728×	`-lowering-.f64`
3 132×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2176
1	1030	2127
2	3143	2097
0	8611	1977

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* -2 (/ z t))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(/ y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* -1 (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* -1 (* t y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(* -1 (* t y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* -1 (* t y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)

Outputs
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t))) x)
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(fma.f64 x (/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 z z) (*.f64 y t)))) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(fma.f64 y (fma.f64 y (/.f64 (.f64 t #s(literal -1/2 binary64)) (.f64 z (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) x)
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 z (.f64 z z))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (*.f64 t t))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) z)) x)
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+.f64 x (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (.f64 y t)) (*.f64 z #s(literal 2 binary64)))) t))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(+.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 (.f64 y y) (.f64 y (pow.f64 t #s(literal 4 binary64))))) x) (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (.f64 y (.f64 y (.f64 t t)))) (fma.f64 (.f64 z (.f64 z z)) (/.f64 #s(literal 4 binary64) (.f64 y t)) (.f64 z #s(literal 2 binary64)))) t))
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(fma.f64 z (fma.f64 z (.f64 z (/.f64 #s(literal 4 binary64) (.f64 y (*.f64 t t)))) (/.f64 #s(literal 2 binary64) t)) x)
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
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(* -1 (* t y))
(-.f64 #s(literal 0 binary64) (*.f64 y t))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y)))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y)))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 z z) t) y)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 (* y z))
(.f64 y (.f64 z #s(literal 2 binary64)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(* 2 y)
(*.f64 y #s(literal 2 binary64))

eval69.0ms (0.6%)

Memory: -13.3MiB live, 135.7MiB allocated
Compiler: Compiled 22 971 to 1 532 computations (93.3% saved)

prune81.0ms (0.8%)

Memory

7.1MiB live, 166.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	549	7	556
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	550	7	557

Accuracy

99.8%

Counts

557 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.4%	(fma.f64 (/.f64 z (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (*.f64 y #s(literal 2 binary64)) x)
▶	56.1%	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
▶	89.5%	(fma.f64 y (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
	21.5%	(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
▶	56.2%	(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
▶	66.1%	(-.f64 x (/.f64 y z))
▶	69.8%	x

Compiler

Compiled 186 to 124 computations (33.3% saved)

simplify129.0ms (1.2%)

Memory

-6.2MiB live, 94.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 #s(literal -2 binary64) z)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) z) t)
✓	cost-diff	192	(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) t)
✓	cost-diff	0	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(-.f64 x (/.f64 y z))
✓	cost-diff	0	(fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))
✓	cost-diff	0	(fma.f64 y (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
✓	cost-diff	320	(.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))

Rules

1 368×	`accelerator-lowering-fma.f32`
1 368×	`accelerator-lowering-fma.f64`
1 016×	`-lowering-.f32`
1 016×	`-lowering-.f64`
472×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	116
1	48	112
2	108	112
3	216	112
4	351	112
5	528	112
6	706	112
7	885	112
8	1313	112
9	1914	112
10	2478	112
11	2634	112
12	2657	112
13	2660	112
14	2660	112
15	2672	112
16	2695	112
17	2695	112
0	2695	105

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* y (* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))) x)
y
(* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))
(* z -2)
z
-2
(/ -1 (+ (* y t) (* (* z z) -2)))
-1
(+ (* y t) (* (* z z) -2))
t
(* (* z z) -2)
(* z z)
x
x
(- x (/ y z))
x
(/ y z)
y
z
(+ (* z (/ 2 t)) x)
z
(/ 2 t)
2
t
x
(- x (/ (* -2 z) t))
x
(/ (* -2 z) t)
(* -2 z)
-2
z
t

Outputs
(+ (* y (* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))) x)
(fma.f64 y (/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y t (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) x)
y
(* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y t (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* z -2)
(fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64))
z
-2
#s(literal -2 binary64)
(/ -1 (+ (* y t) (* (* z z) -2)))
(/.f64 #s(literal -1 binary64) (fma.f64 y t (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
-1
#s(literal -1 binary64)
(+ (* y t) (* (* z z) -2))
(fma.f64 y t (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
t
(* (* z z) -2)
(fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
x
x
(- x (/ y z))
(-.f64 x (/.f64 y z))
x
(/ y z)
(/.f64 y z)
y
z
(+ (* z (/ 2 t)) x)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
z
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
2
#s(literal 2 binary64)
t
x
(- x (/ (* -2 z) t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(/ (* -2 z) t)
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 z)
(fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
z
t

localize82.0ms (0.8%)

Memory

-28.3MiB live, 89.7MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal -2 binary64) z) t)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) z)
✓	accuracy	100.0%	(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) t)
✓	accuracy	99.8%	(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(-.f64 x (/.f64 y z))
✓	accuracy	99.2%	(fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))
✓	accuracy	98.5%	(fma.f64 y (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
✓	accuracy	98.1%	(/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))
✓	accuracy	70.1%	(.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))))

Samples

44.0ms

256×

valid

Compiler

Compiled 112 to 26 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 12.0ms (47.4% of total)

ival-div: 7.0ms (27.6% of total)

ival-add: 3.0ms (11.8% of total)

ival-sub: 2.0ms (7.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

11 → 336

Calls

Call 1

Inputs
#<alt (* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))>
#<alt (+ (* y (* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))) x)>
#<alt (/ -1 (+ (* y t) (* (* z z) -2)))>
#<alt (+ (* y t) (* (* z z) -2))>
#<alt (- x (/ y z))>
#<alt (/ y z)>
#<alt (+ (* z (/ 2 t)) x)>
#<alt (/ 2 t)>
#<alt (- x (/ (* -2 z) t))>
#<alt (/ (* -2 z) t)>
#<alt (* -2 z)>

Outputs
#<alt (* 2 (/ z (* t y)))>
#<alt (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (* 2 (/ 1 (* t y)))))>
#<alt (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))>
#<alt (* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 8 (/ 1 (* (pow t 3) (pow y 3)))))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))>
#<alt (/ -1 z)>
#<alt (/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z)>
#<alt (/ (- (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) z)>
#<alt (/ (- (* -1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1 (+ (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/2 (/ (* t y) (pow z 2)))))) z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z))>
#<alt (* -1 (/ (- (+ 1 (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/2 (/ (* t y) (pow z 2)))) z))>
#<alt (* -1 (/ (- (+ 1 (* 1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/2 (/ (* t y) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))>
#<alt (/ -1 z)>
#<alt (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))>
#<alt (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))>
#<alt (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z))>
#<alt (* 2 (/ z (* t y)))>
#<alt (/ (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) y)>
#<alt (/ (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) y)>
#<alt (/ (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))) y)>
#<alt (* 2 (/ z (* t y)))>
#<alt (* -1 (/ (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) y))>
#<alt (* -1 (/ (+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) y))>
#<alt (* -1 (/ (+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) y))>
#<alt (/ -1 z)>
#<alt (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))>
#<alt (- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z))>
#<alt (- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 1 z))>
#<alt (* 2 (/ z (* t y)))>
#<alt (/ (+ (* 2 (/ z y)) (* 4 (/ (pow z 3) (* t (pow y 2))))) t)>
#<alt (/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))))) t)>
#<alt (/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 4))))))) t)>
#<alt (* 2 (/ z (* t y)))>
#<alt (* -1 (/ (+ (* -4 (/ (pow z 3) (* t (pow y 2)))) (* -2 (/ z y))) t))>
#<alt (* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow y 2))) (* 8 (/ (pow z 5) (* t (pow y 3))))) t))) t))>
#<alt (* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 4)))) (* -8 (/ (pow z 5) (pow y 3)))) t)) (* 4 (/ (pow z 3) (pow y 2)))) t))) t))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))>
#<alt (+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))>
#<alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))>
#<alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))>
#<alt (+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))>
#<alt (+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))>
#<alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))>
#<alt (+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))>
#<alt (+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))>
#<alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))>
#<alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))>
#<alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))>
#<alt (+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))>
#<alt (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))>
#<alt (+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))>
#<alt (+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))>
#<alt (+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))>
#<alt (* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))>
#<alt (/ 1/2 (pow z 2))>
#<alt (+ (* 1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* 1/8 (/ (* (pow t 2) y) (pow z 6))) (* -1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* y (- (* y (- (* 1/16 (/ (* (pow t 3) y) (pow z 8))) (* -1/8 (/ (pow t 2) (pow z 6))))) (* -1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (/ -1 (* t y))>
#<alt (/ (- (* -2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) y)>
#<alt (/ (- (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))) y)>
#<alt (/ (- (* -8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)))) y)>
#<alt (/ -1 (* t y))>
#<alt (* -1 (/ (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) y))>
#<alt (/ 1/2 (pow z 2))>
#<alt (+ (* 1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* t (- (* 1/8 (/ (* t (pow y 2)) (pow z 6))) (* -1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (+ (* t (- (* t (- (* 1/16 (/ (* t (pow y 3)) (pow z 8))) (* -1/8 (/ (pow y 2) (pow z 6))))) (* -1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))>
#<alt (/ -1 (* t y))>
#<alt (/ (- (* -2 (/ (pow z 2) (* t (pow y 2)))) (/ 1 y)) t)>
#<alt (/ (- (* -4 (/ (pow z 4) (* (pow t 2) (pow y 3)))) (+ (* 2 (/ (pow z 2) (* t (pow y 2)))) (/ 1 y))) t)>
#<alt (/ (- (* -8 (/ (pow z 6) (* (pow t 3) (pow y 4)))) (+ (* 2 (/ (pow z 2) (* t (pow y 2)))) (+ (* 4 (/ (pow z 4) (* (pow t 2) (pow y 3)))) (/ 1 y)))) t)>
#<alt (/ -1 (* t y))>
#<alt (* -1 (/ (+ (* 2 (/ (pow z 2) (* t (pow y 2)))) (/ 1 y)) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -4 (/ (pow z 4) (* t (pow y 3)))) (* 2 (/ (pow z 2) (pow y 2)))) t)) (/ 1 y)) t))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* t (pow y 4)))) (* -4 (/ (pow z 4) (pow y 3)))) t)) (* 2 (/ (pow z 2) (pow y 2)))) t)) (/ 1 y)) t))>
#<alt (/ -1 (* t y))>
#<alt (- (* -2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y)))>
#<alt (- (* (pow z 2) (- (* -4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y)))>
#<alt (- (* (pow z 2) (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y)))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) (pow z 2))>
#<alt (/ 1/2 (pow z 2))>
#<alt (/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) (pow z 2))>
#<alt (* -2 (pow z 2))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* t y)>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* y (+ t (* -2 (/ (pow z 2) y))))>
#<alt (* t y)>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))>
#<alt (* -2 (pow z 2))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* t y)>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t (+ y (* -2 (/ (pow z 2) t))))>
#<alt (* t y)>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))>
#<alt (* t y)>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (+ (* -2 (pow z 2)) (* t y))>
#<alt (* -2 (pow z 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* -2 (pow z 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* (pow z 2) (- (/ (* t y) (pow z 2)) 2))>
#<alt (* -1 (/ y z))>
#<alt (- x (/ y z))>
#<alt (- x (/ y z))>
#<alt (- x (/ y z))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (/ y z))>
#<alt (/ (- (* x z) y) z)>
#<alt (/ (- (* x z) y) z)>
#<alt (/ (- (* x z) y) z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* 2 (/ z t))>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (/ 2 t)>
#<alt (* 2 (/ z t))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* 2 (/ z t))>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>

Calls

84 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))
1.0ms	y	@	inf	(* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))
1.0ms	z	@	0	(* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))
1.0ms	x	@	0	(+ (* y (* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))) x)
1.0ms	z	@	inf	(* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))

rewrite656.0ms (6.1%)

Memory

12.9MiB live, 517.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 666×	`accelerator-lowering-fma.f32`
7 666×	`accelerator-lowering-fma.f64`
4 510×	`-lowering-.f32`
4 510×	`-lowering-.f64`
3 468×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	87
1	134	83
2	1126	83
0	8548	76

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 435

Calls

Call 1

Inputs
(* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))
(+ (* y (* (* z -2) (/ -1 (+ (* y t) (* (* z z) -2))))) x)
(/ -1 (+ (* y t) (* (* z z) -2)))
(+ (* y t) (* (* z z) -2))
(- x (/ y z))
(/ y z)
(+ (* z (/ 2 t)) x)
(/ 2 t)
(- x (/ (* -2 z) t))
(/ (* -2 z) t)
(* -2 z)

Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (.f64 z #s(literal -2 binary64))))
(neg.f64 (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(neg.f64 (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)))))
(neg.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) t)))))
(/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 z (.f64 z #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)) (*.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)) (*.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)) (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t)))
(pow.f64 (/.f64 (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)) (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))
(.f64 z (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(.f64 #s(literal -2 binary64) (/.f64 z (fma.f64 z (.f64 z #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) t)))))
(.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (*.f64 z #s(literal -2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (.f64 z #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 z (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))))
(.f64 (.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (/.f64 (.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) z)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) z) #s(literal -2 binary64))
(.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) t))))))
(.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -4 binary64)))) (fma.f64 y t (.f64 z (.f64 z #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) t))))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -4 binary64)))) (/.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 z (.f64 z #s(literal 2 binary64)))))))
(.f64 (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) t))))))))
(.f64 (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -4 binary64)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 z (.f64 z #s(literal 2 binary64)))))))
(.f64 (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) #s(literal -1 binary64))
(.f64 (/.f64 (.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))))
(.f64 (/.f64 #s(literal -2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) (/.f64 z #s(literal -1 binary64)))
(.f64 (/.f64 z (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) #s(literal 2 binary64))
(.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))))
(.f64 (/.f64 z (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y (-.f64 #s(literal 0 binary64) t))))))))
(.f64 (/.f64 z (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -4 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 z (*.f64 z #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y (-.f64 #s(literal 0 binary64) t))))))))
(.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 z (.f64 z #s(literal -2 binary64))) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) t))))))))
(.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -4 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 z (*.f64 z #s(literal 2 binary64)))))))
(.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y (.f64 t (.f64 y t)) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal -4 binary64)))) (/.f64 (.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y t (.f64 z (.f64 z #s(literal 2 binary64)))))))
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(*.f64 #s(literal -2 binary64) z)
(.f64 #s(literal -2 binary64) (neg.f64 (.f64 z #s(literal -1 binary64))))
(.f64 (.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) z))
(.f64 #s(literal 2 binary64) (.f64 z #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 2 binary64))
(.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1 binary64))

simplify672.0ms (6.3%)

Memory

0.8MiB live, 679.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 060×	`accelerator-lowering-fma.f32`
11 060×	`accelerator-lowering-fma.f64`
5 088×	`-lowering-.f32`
5 088×	`-lowering-.f64`
3 774×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	3825
1	1654	3793
2	5072	3788
0	8072	3549

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(* 2 (/ z (* t y)))
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (* 2 (/ 1 (* t y)))))
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 8 (/ 1 (* (pow t 3) (pow y 3)))))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))
(/ -1 z)
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z)
(/ (- (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1 (+ (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/2 (/ (* t y) (pow z 2)))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1 (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/2 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1 (* 1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/2 (/ (* t y) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(/ -1 z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))
(- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z))
(* 2 (/ z (* t y)))
(/ (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) y)
(/ (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) y)
(/ (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))) y)
(* 2 (/ z (* t y)))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) y))
(* -1 (/ (+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) y))
(* -1 (/ (+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) y))
(/ -1 z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z))
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 1 z))
(* 2 (/ z (* t y)))
(/ (+ (* 2 (/ z y)) (* 4 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))))) t)
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 4))))))) t)
(* 2 (/ z (* t y)))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t (pow y 2)))) (* -2 (/ z y))) t))
(* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow y 2))) (* 8 (/ (pow z 5) (* t (pow y 3))))) t))) t))
(* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 4)))) (* -8 (/ (pow z 5) (pow y 3)))) t)) (* 4 (/ (pow z 3) (pow y 2)))) t))) t))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
x
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(/ 1/2 (pow z 2))
(+ (* 1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(+ (* y (- (* 1/8 (/ (* (pow t 2) y) (pow z 6))) (* -1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+ (* y (- (* y (- (* 1/16 (/ (* (pow t 3) y) (pow z 8))) (* -1/8 (/ (pow t 2) (pow z 6))))) (* -1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(/ -1 (* t y))
(/ (- (* -2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) y)
(/ (- (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t))) y)
(/ (- (* -8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)))) y)
(/ -1 (* t y))
(* -1 (/ (+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) y))
(* -1 (/ (+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) y))
(/ 1/2 (pow z 2))
(+ (* 1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))
(+ (* t (- (* 1/8 (/ (* t (pow y 2)) (pow z 6))) (* -1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(+ (* t (- (* t (- (* 1/16 (/ (* t (pow y 3)) (pow z 8))) (* -1/8 (/ (pow y 2) (pow z 6))))) (* -1/4 (/ y (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))
(/ -1 (* t y))
(/ (- (* -2 (/ (pow z 2) (* t (pow y 2)))) (/ 1 y)) t)
(/ (- (* -4 (/ (pow z 4) (* (pow t 2) (pow y 3)))) (+ (* 2 (/ (pow z 2) (* t (pow y 2)))) (/ 1 y))) t)
(/ (- (* -8 (/ (pow z 6) (* (pow t 3) (pow y 4)))) (+ (* 2 (/ (pow z 2) (* t (pow y 2)))) (+ (* 4 (/ (pow z 4) (* (pow t 2) (pow y 3)))) (/ 1 y)))) t)
(/ -1 (* t y))
(* -1 (/ (+ (* 2 (/ (pow z 2) (* t (pow y 2)))) (/ 1 y)) t))
(* -1 (/ (+ (* -1 (/ (- (* -4 (/ (pow z 4) (* t (pow y 3)))) (* 2 (/ (pow z 2) (pow y 2)))) t)) (/ 1 y)) t))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* t (pow y 4)))) (* -4 (/ (pow z 4) (pow y 3)))) t)) (* 2 (/ (pow z 2) (pow y 2)))) t)) (/ 1 y)) t))
(/ -1 (* t y))
(- (* -2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y)))
(- (* (pow z 2) (- (* -4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y)))
(- (* (pow z 2) (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y)))
(/ 1/2 (pow z 2))
(/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) (pow z 2))
(/ 1/2 (pow z 2))
(/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) (pow z 2))
(/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) (pow z 2))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* t y)
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* t y)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t y)
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* t y)
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -1 (/ y z))
(- x (/ y z))
(- x (/ y z))
(- x (/ y z))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(* -1 (/ y z))
(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (/ y z))
(/ (- (* x z) y) z)
(/ (- (* x z) y) z)
(/ (- (* x z) y) z)
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* 2 (/ z t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(* 2 (/ z t))
(- x (* -2 (/ z t)))
(- x (* -2 (/ z t)))
(- x (* -2 (/ z t)))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* 2 (/ z t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(/ (- (* t x) (* -2 z)) t)
(/ (- (* t x) (* -2 z)) t)
(/ (- (* t x) (* -2 z)) t)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)

Outputs
(* 2 (/ z (* t y)))
(/.f64 (.f64 #s(literal 2 binary64) z) (.f64 t y))
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (* 2 (/ 1 (* t y)))))
(.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) (.f64 t (.f64 t (.f64 y y)))) (/.f64 #s(literal 2 binary64) (.f64 t y))))
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))
(.f64 z (fma.f64 (.f64 z z) (fma.f64 z (.f64 z (/.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 y (.f64 t (.f64 y y)))))) (/.f64 #s(literal 4 binary64) (.f64 t (.f64 t (.f64 y y))))) (/.f64 #s(literal 2 binary64) (.f64 t y))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 8 (/ 1 (* (pow t 3) (pow y 3)))))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))
(.f64 z (fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 z z) (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 y (.f64 t (.f64 y y)))))) (/.f64 #s(literal 4 binary64) (.f64 t (.f64 t (.f64 y y))))) (/.f64 #s(literal 2 binary64) (.f64 t y))))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z)
(/.f64 (fma.f64 (.f64 t #s(literal -1/2 binary64)) (/.f64 y (.f64 z z)) #s(literal -1 binary64)) z)
(/ (- (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) z)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 t (.f64 t (.f64 y y))) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 (.f64 t #s(literal -1/2 binary64)) (/.f64 y (.f64 z z)) #s(literal -1 binary64))) z)
(/ (- (* -1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1 (+ (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/2 (/ (* t y) (pow z 2)))))) z)
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 t (.f64 t t))) (.f64 y (.f64 y y))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 t (.f64 (/.f64 y (.f64 z z)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 t (.f64 t (.f64 y y))) (.f64 (.f64 z z) (.f64 z z))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z))
(/.f64 (fma.f64 (.f64 t #s(literal -1/2 binary64)) (/.f64 y (.f64 z z)) #s(literal -1 binary64)) z)
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(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(* x (+ 1 (* 2 (/ z (* t x)))))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(* x (+ 1 (* 2 (/ z (* t x)))))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(* 2 (/ z t))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(- x (* -2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(- x (* -2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(- x (* -2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(* x (+ 1 (* 2 (/ z (* t x)))))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(* x (+ 1 (* 2 (/ z (* t x)))))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 t x)) #s(literal 1 binary64)))
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(* 2 (/ z t))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(* 2 (/ z t))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(* 2 (/ z t))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/ (- (* t x) (* -2 z)) t)
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(/ (- (* t x) (* -2 z)) t)
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(/ (- (* t x) (* -2 z)) t)
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 (/ z t))
(*.f64 z (/.f64 #s(literal -2 binary64) t))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))

eval95.0ms (0.9%)

Memory: -11.4MiB live, 220.3MiB allocated
Compiler: Compiled 17 931 to 1 525 computations (91.5% saved)

prune70.0ms (0.7%)

Memory

27.4MiB live, 187.4MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	763	8	771
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	768	10	778

Accuracy

99.8%

Counts

778 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.5%	(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x)
	56.2%	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
▶	21.5%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
✓	66.1%	(-.f64 x (/.f64 y z))
	56.1%	(-.f64 x (/.f64 #s(literal -2 binary64) (/.f64 t z)))
▶	28.5%	(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))))
	30.4%	(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))))
▶	15.9%	(*.f64 z (/.f64 #s(literal 2 binary64) t))
▶	63.5%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 z x))))
✓	69.8%	x

Compiler

Compiled 230 to 164 computations (28.7% saved)

simplify218.0ms (2%)

Memory

6.0MiB live, 280.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z))
✓	cost-diff	128	(.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))
✓	cost-diff	192	(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))))
✓	cost-diff	12992	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))
✓	cost-diff	-64	(*.f64 #s(literal 2 binary64) z)
✓	cost-diff	-64	(.f64 (.f64 #s(literal 2 binary64) z) y)
✓	cost-diff	0	(fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y))
✓	cost-diff	0	(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
✓	cost-diff	-64	(*.f64 z x)
✓	cost-diff	0	(/.f64 y (*.f64 z x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)))
✓	cost-diff	704	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 z x))))
✓	cost-diff	-64	(*.f64 z (/.f64 #s(literal 2 binary64) t))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) t)
✓	cost-diff	-64	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))
✓	cost-diff	0	(/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t)))
✓	cost-diff	0	(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x)

Rules

3 628×	`-lowering-.f32`
3 628×	`-lowering-.f64`
3 372×	`accelerator-lowering-fma.f32`
3 372×	`accelerator-lowering-fma.f64`
1 472×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	179
1	73	178
2	127	174
3	222	174
4	508	170
5	1377	170
6	2663	170
7	4034	170
8	5598	170
9	7297	170
10	7633	170
11	7752	170
12	7880	170
0	8232	163

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (/ (* z 2) (+ (* z (* z -2)) (* y t))) y) x)
(/ (* z 2) (+ (* z (* z -2)) (* y t)))
(* z 2)
z
2
(+ (* z (* z -2)) (* y t))
(* z -2)
-2
(* y t)
y
t
x
(* z (/ 2 t))
z
(/ 2 t)
2
t
(* x (- 1 (/ y (* z x))))
x
(- 1 (/ y (* z x)))
1
(/ y (* z x))
y
(* z x)
z
(/ (* (* 2 z) y) (+ (* z (* z -2)) (* t y)))
(* (* 2 z) y)
(* 2 z)
2
z
y
(+ (* z (* z -2)) (* t y))
(* z -2)
-2
(* t y)
t
(- x (exp (* (log (/ (* t -1/2) z)) -1)))
x
(exp (* (log (/ (* t -1/2) z)) -1))
(* (log (/ (* t -1/2) z)) -1)
(log (/ (* t -1/2) z))
(/ (* t -1/2) z)
(* t -1/2)
t
-1/2
z
-1

Outputs
(+ (* (/ (* z 2) (+ (* z (* z -2)) (* y t))) y) x)
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 y t #s(literal 0 binary64)))) x)
(/ (* z 2) (+ (* z (* z -2)) (* y t)))
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 y t #s(literal 0 binary64))))
(* z 2)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
z
2
#s(literal 2 binary64)
(+ (* z (* z -2)) (* y t))
(fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 y t #s(literal 0 binary64)))
(* z -2)
(fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(* y t)
(fma.f64 y t #s(literal 0 binary64))
y
t
x
(* z (/ 2 t))
(/.f64 (fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64)) t)
z
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
2
#s(literal 2 binary64)
t
(* x (- 1 (/ y (* z x))))
(-.f64 x (/.f64 y z))
x
(- 1 (/ y (* z x)))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(/ y (* z x))
(/.f64 y (fma.f64 z x #s(literal 0 binary64)))
y
(* z x)
(fma.f64 z x #s(literal 0 binary64))
z
(/ (* (* 2 z) y) (+ (* z (* z -2)) (* t y)))
(/.f64 (fma.f64 z (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 y t #s(literal 0 binary64))))
(* (* 2 z) y)
(fma.f64 z (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
z
y
(+ (* z (* z -2)) (* t y))
(fma.f64 z (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) (fma.f64 y t #s(literal 0 binary64)))
(* z -2)
(fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(* t y)
(fma.f64 y t #s(literal 0 binary64))
t
(- x (exp (* (log (/ (* t -1/2) z)) -1)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(exp (* (log (/ (* t -1/2) z)) -1))
(/.f64 (fma.f64 z #s(literal -2 binary64) #s(literal 0 binary64)) t)
(* (log (/ (* t -1/2) z)) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 t (/.f64 #s(literal -1/2 binary64) z) #s(literal 0 binary64))))
(log (/ (* t -1/2) z))
(log.f64 (fma.f64 t (/.f64 #s(literal -1/2 binary64) z) #s(literal 0 binary64)))
(/ (* t -1/2) z)
(fma.f64 t (/.f64 #s(literal -1/2 binary64) z) #s(literal 0 binary64))
(* t -1/2)
(fma.f64 t #s(literal -1/2 binary64) #s(literal 0 binary64))
t
-1/2
#s(literal -1/2 binary64)
z
-1
#s(literal -1 binary64)

localize118.0ms (1.1%)

Memory

13.0MiB live, 164.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 t #s(literal -1/2 binary64))
✓	accuracy	100.0%	(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))))
✓	accuracy	96.6%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64)))
✓	accuracy	88.6%	(log.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z))
✓	accuracy	100.0%	(*.f64 t y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) z)
✓	accuracy	99.6%	(fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y))
✓	accuracy	81.7%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	96.2%	(/.f64 y (*.f64 z x))
✓	accuracy	95.5%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 z x))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) t)
✓	accuracy	99.8%	(*.f64 z (/.f64 #s(literal 2 binary64) t))
✓	accuracy	100.0%	(*.f64 y t)
✓	accuracy	99.6%	(fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))
✓	accuracy	99.2%	(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x)
✓	accuracy	81.7%	(/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t)))

Samples

43.0ms	116×	0	invalid
38.0ms	140×	0	valid

Compiler

Compiled 179 to 36 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 19.0ms (34.5% of total)

ival-div: 8.0ms (14.5% of total)

ival-exp: 8.0ms (14.5% of total)

ival-add: 8.0ms (14.5% of total)

ival-log: 8.0ms (14.5% of total)

ival-sub: 2.0ms (3.6% of total)

exact: 1.0ms (1.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series151.0ms (1.4%)

Memory

-1.8MiB live, 196.0MiB allocated

Counts

21 → 576

Calls

Call 1

Inputs
#<alt (+ (* (/ (* z 2) (+ (* z (* z -2)) (* y t))) y) x)>
#<alt (/ (* z 2) (+ (* z (* z -2)) (* y t)))>
#<alt (+ (* z (* z -2)) (* y t))>
#<alt (* z 2)>
#<alt (/ 2 t)>
#<alt (* z (/ 2 t))>
#<alt (* x (- 1 (/ y (* z x))))>
#<alt (- 1 (/ y (* z x)))>
#<alt (/ y (* z x))>
#<alt (* z x)>
#<alt (/ (* (* 2 z) y) (+ (* z (* z -2)) (* t y)))>
#<alt (+ (* z (* z -2)) (* t y))>
#<alt (* (* 2 z) y)>
#<alt (* 2 z)>
#<alt (exp (* (log (/ (* t -1/2) z)) -1))>
#<alt (- x (exp (* (log (/ (* t -1/2) z)) -1)))>
#<alt (* (log (/ (* t -1/2) z)) -1)>
#<alt (log (/ (* t -1/2) z))>
#<alt (* y t)>
#<alt (* t y)>
#<alt (* t -1/2)>

Outputs
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))>
#<alt (+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))>
#<alt (+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))>
#<alt (+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))>
#<alt (+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))>
#<alt (+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))>
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#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* 2 (/ z t))>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (+ (log t) (log (/ -1/2 z))))>
#<alt (* -1 (+ (log t) (log (/ -1/2 z))))>
#<alt (* -1 (+ (log t) (log (/ -1/2 z))))>
#<alt (* -1 (+ (log t) (log (/ -1/2 z))))>
#<alt (* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))>
#<alt (* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))>
#<alt (* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))>
#<alt (* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))>
#<alt (* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))>
#<alt (* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))>
#<alt (* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))>
#<alt (* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))>
#<alt (* -1 (+ (log (* -1/2 t)) (* -1 (log z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (* -1 (log z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (* -1 (log z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (* -1 (log z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))>
#<alt (* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))>
#<alt (* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))>
#<alt (* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))>
#<alt (* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))>
#<alt (* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))>
#<alt (+ (log t) (log (/ -1/2 z)))>
#<alt (+ (log t) (log (/ -1/2 z)))>
#<alt (+ (log t) (log (/ -1/2 z)))>
#<alt (+ (log t) (log (/ -1/2 z)))>
#<alt (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))>
#<alt (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))>
#<alt (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))>
#<alt (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))>
#<alt (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))>
#<alt (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))>
#<alt (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))>
#<alt (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))>
#<alt (+ (log (* -1/2 t)) (* -1 (log z)))>
#<alt (+ (log (* -1/2 t)) (* -1 (log z)))>
#<alt (+ (log (* -1/2 t)) (* -1 (log z)))>
#<alt (+ (log (* -1/2 t)) (* -1 (log z)))>
#<alt (+ (log (* -1/2 t)) (log (/ 1 z)))>
#<alt (+ (log (* -1/2 t)) (log (/ 1 z)))>
#<alt (+ (log (* -1/2 t)) (log (/ 1 z)))>
#<alt (+ (log (* -1/2 t)) (log (/ 1 z)))>
#<alt (+ (log (* 1/2 t)) (log (/ -1 z)))>
#<alt (+ (log (* 1/2 t)) (log (/ -1 z)))>
#<alt (+ (log (* 1/2 t)) (log (/ -1 z)))>
#<alt (+ (log (* 1/2 t)) (log (/ -1 z)))>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>
#<alt (* -1/2 t)>

Calls

144 calls:

Time	Variable		Point	Expression
35.0ms	z	@	0	(* (log (/ (* t -1/2) z)) -1)
32.0ms	t	@	0	(* (log (/ (* t -1/2) z)) -1)
21.0ms	z	@	-inf	(* (log (/ (* t -1/2) z)) -1)
14.0ms	t	@	-inf	(* (log (/ (* t -1/2) z)) -1)
11.0ms	t	@	inf	(* (log (/ (* t -1/2) z)) -1)

rewrite401.0ms (3.7%)

Memory

5.8MiB live, 586.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 720×	`-lowering-.f32`
5 720×	`-lowering-.f64`
4 428×	`/-lowering-/.f32`
4 428×	`/-lowering-/.f64`
4 026×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	145
1	174	140
2	1205	139
0	8527	132

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 507

Calls

Call 1

Inputs
(+ (* (/ (* z 2) (+ (* z (* z -2)) (* y t))) y) x)
(/ (* z 2) (+ (* z (* z -2)) (* y t)))
(+ (* z (* z -2)) (* y t))
(* z 2)
(/ 2 t)
(* z (/ 2 t))
(* x (- 1 (/ y (* z x))))
(- 1 (/ y (* z x)))
(/ y (* z x))
(* z x)
(/ (* (* 2 z) y) (+ (* z (* z -2)) (* t y)))
(+ (* z (* z -2)) (* t y))
(* (* 2 z) y)
(* 2 z)
(exp (* (log (/ (* t -1/2) z)) -1))
(- x (exp (* (log (/ (* t -1/2) z)) -1)))
(* (log (/ (* t -1/2) z)) -1)
(log (/ (* t -1/2) z))
(* y t)
(* t y)
(* t -1/2)

Outputs
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) x)
(+.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (.f64 #s(literal 2 binary64) (.f64 z y))) (.f64 (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))))) (/.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (.f64 #s(literal 2 binary64) (.f64 z y))) (.f64 (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)))) (-.f64 x (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))))))
(fma.f64 z (.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t)))) x)
(fma.f64 z (.f64 (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y) x)
(fma.f64 #s(literal 2 binary64) (.f64 z (/.f64 y (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t)))) x)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)))) x)
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 z y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (.f64 z #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) y) x)
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (.f64 z y)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 y (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x)
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) x)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) x)
(fma.f64 (.f64 #s(literal -2 binary64) (.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (.f64 #s(literal 2 binary64) (.f64 z y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 z y))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 y (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (*.f64 z #s(literal 2 binary64)) x)
(fma.f64 (/.f64 y (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 2 binary64)))) x)
(fma.f64 (/.f64 y (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 4 binary64))))) x)
(fma.f64 (/.f64 y (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64)) (.f64 y (.f64 t (.f64 y t))))) (/.f64 (.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) t)))) x)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (fma.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64))) x)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64))))) x)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64)) (.f64 y (.f64 t (.f64 y t))))) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) t)) x)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64)) (.f64 y (.f64 t (.f64 y t))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) t)))) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 4 binary64))))) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64)) (.f64 y (.f64 t (.f64 y t))))) (/.f64 (.f64 z y) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) t)))) x)
(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 4 binary64))))) x)
(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64)) (.f64 y (.f64 t (.f64 y t))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) t)))) x)
(fma.f64 (/.f64 z (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 4 binary64))))) x)
(fma.f64 (/.f64 z (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64)) (.f64 y (.f64 t (.f64 y t))))) (/.f64 (.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) t)))) x)
(fma.f64 (/.f64 (.f64 z y) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 4 binary64))))) x)
(fma.f64 (/.f64 (.f64 z y) (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64)) (.f64 y (.f64 t (.f64 y t))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) t)))) x)
(fma.f64 (/.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 (.f64 y t) (.f64 y (.f64 t (.f64 y t))) (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) #s(literal -8 binary64))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y t) (-.f64 (.f64 y t) (.f64 z (.f64 z #s(literal -2 binary64)))) (.f64 (.f64 (.f64 z z) (*.f64 z z)) #s(literal 4 binary64))))) x)
(fma.f64 (/.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) #s(literal 4 binary64)) (.f64 y (.f64 t (.f64 y t))))) (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) y) t)))) x)
(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (.f64 z #s(literal -2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
(fma.f64 (/.f64 (.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) x)
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(.f64 (.f64 (fma.f64 x x (.f64 (/.f64 z (.f64 t #s(literal -1/2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 z t) x))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (/.f64 z (.f64 t #s(literal -1/2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 z t) x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 z t) x) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 z t) x)))
(log.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))))
(+.f64 (log.f64 z) (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) t))))
(+.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) t))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) t)) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) z))))
(+.f64 (log.f64 (pow.f64 (/.f64 z (.f64 t #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 z (.f64 t #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))
(-.f64 (log.f64 z) (log.f64 (*.f64 t #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) z)) (log.f64 (*.f64 t #s(literal 1/2 binary64))))
(-.f64 (log.f64 (/.f64 z #s(literal -1/2 binary64))) (log.f64 t))
(-.f64 (log.f64 (/.f64 z t)) (log.f64 #s(literal -1/2 binary64)))
(neg.f64 (log.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)))
(.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))
(.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)))
(log.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z))
(+.f64 (log.f64 (*.f64 t #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 z)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 t #s(literal -1/2 binary64)) z)))
(+.f64 (log.f64 t) (log.f64 (/.f64 #s(literal -1/2 binary64) z)))
(+.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) z)) (log.f64 t))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 t (/.f64 #s(literal 1 binary64) z))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 t z)))
(+.f64 (log.f64 (*.f64 t #s(literal 1/2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (log.f64 (*.f64 t #s(literal -1/2 binary64))))
(-.f64 (log.f64 (*.f64 t #s(literal -1/2 binary64))) (log.f64 z))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 t #s(literal 1/2 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) z)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 z (*.f64 t #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (neg.f64 (*.f64 t #s(literal 1/2 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z))))
(-.f64 (log.f64 (.f64 (.f64 t #s(literal -1/2 binary64)) #s(literal 1 binary64))) (log.f64 z))
(-.f64 (/.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) (log.f64 z))))) (/.f64 (pow.f64 (log.f64 z) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 (log.f64 (*.f64 t #s(literal -1/2 binary64))) (log.f64 z))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 2 binary64)) (log.f64 (.f64 (.f64 t #s(literal -1/2 binary64)) z))) (/.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (log.f64 (.f64 (*.f64 t #s(literal -1/2 binary64)) z))))
(fma.f64 #s(literal -1 binary64) (log.f64 z) (log.f64 (*.f64 t #s(literal -1/2 binary64))))
(neg.f64 (log.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) (log.f64 z)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64))) (log.f64 (.f64 (*.f64 t #s(literal -1/2 binary64)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 z) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) (log.f64 z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 z) #s(literal 2 binary64)))) (neg.f64 (log.f64 (.f64 (*.f64 t #s(literal -1/2 binary64)) z))))
(/.f64 (+.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 t #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (log.f64 z)) (-.f64 #s(literal 0 binary64) (log.f64 z))) (.f64 (log.f64 (*.f64 t #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 z))))))
(/.f64 (+.f64 (pow.f64 (log.f64 t) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) z)) #s(literal 3 binary64))) (fma.f64 (log.f64 t) (log.f64 t) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) z)) (log.f64 (/.f64 #s(literal -1/2 binary64) z))) (.f64 (log.f64 t) (log.f64 (/.f64 #s(literal -1/2 binary64) z))))))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (.f64 t #s(literal -1/2 binary64)))))
(*.f64 y t)
(*.f64 t y)
(*.f64 y t)
(*.f64 t y)
(exp.f64 (log.f64 (*.f64 t #s(literal -1/2 binary64))))
(*.f64 t #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) t)
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 t)))

simplify592.0ms (5.5%)

Memory

-13.0MiB live, 926.9MiB allocated

Algorithm

1×	egg-herbie

Rules

16 796×	`accelerator-lowering-fma.f32`
16 796×	`accelerator-lowering-fma.f64`
6 162×	`-lowering-.f32`
6 162×	`-lowering-.f64`
3 536×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	5217
1	1438	5127
2	4314	5091
0	8633	4852

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(+ x (* -1 (/ y z)))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
x
(+ x (* 2 (/ z t)))
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))))
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1)))
(* 2 (/ z (* t y)))
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (* 2 (/ 1 (* t y)))))
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 8 (/ 1 (* (pow t 3) (pow y 3)))))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y)))))
(/ -1 z)
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z)
(/ (- (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) z)
(/ (- (* -1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1 (+ (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/2 (/ (* t y) (pow z 2)))))) z)
(/ -1 z)
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1 (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/2 (/ (* t y) (pow z 2)))) z))
(* -1 (/ (- (+ 1 (* 1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/2 (/ (* t y) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) z))
(/ -1 z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))
(- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z))
(* 2 (/ z (* t y)))
(/ (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) y)
(/ (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) y)
(/ (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))) y)
(* 2 (/ z (* t y)))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) y))
(* -1 (/ (+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) y))
(* -1 (/ (+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) y))
(/ -1 z)
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z))
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 1 z))
(* 2 (/ z (* t y)))
(/ (+ (* 2 (/ z y)) (* 4 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))))) t)
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 4))))))) t)
(* 2 (/ z (* t y)))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t (pow y 2)))) (* -2 (/ z y))) t))
(* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow y 2))) (* 8 (/ (pow z 5) (* t (pow y 3))))) t))) t))
(* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 4)))) (* -8 (/ (pow z 5) (pow y 3)))) t)) (* 4 (/ (pow z 3) (pow y 2)))) t))) t))
(* t y)
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* t y)
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* y (+ t (* -2 (/ (pow z 2) y))))
(* t y)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t y)
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(/ 2 t)
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(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(* 2 (/ z t))
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(* 2 (/ z t))
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(* -1 (/ y z))
(+ x (* -1 (/ y z)))
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(+ x (* -1 (/ y z)))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
x
(+ x (* -1 (/ y z)))
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(* -1 (/ y z))
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(* -1 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
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(/ (+ (* -1 y) (* x z)) z)
(/ (+ (* -1 y) (* x z)) z)
(/ (+ (* -1 y) (* x z)) z)
x
(+ x (* -1 (/ y z)))
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x
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1
(+ 1 (* -1 (/ y (* x z))))
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(* -1 (/ y (* x z)))
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(* y (- (/ 1 y) (/ 1 (* x z))))
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(* -1 (/ y (* x z)))
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(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(* -1 (/ y (* x z)))
(/ (- z (/ y x)) z)
(/ (- z (/ y x)) z)
(/ (- z (/ y x)) z)
1
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(/ (- x (/ y z)) x)
(/ (- x (/ y z)) x)
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(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
(/ y (* x z))
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(/ y (* x z))
(/ y (* x z))
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(* x z)
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(* x z)
(* x z)
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(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))
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(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z)))
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(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))
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(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))
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(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))
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(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
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(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
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(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
(* t y)
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(* -2 (pow z 2))
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(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
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(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2))
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(* 2 z)
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(* 2 z)
(* 2 z)
(* 2 z)
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(* -2 (/ z t))
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(- x (* -2 (/ z t)))
(- x (* -2 (/ z t)))
(- x (* -2 (/ z t)))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* 2 (/ z t))
(/ (- (* t x) (* -2 z)) t)
(/ (- (* t x) (* -2 z)) t)
(/ (- (* t x) (* -2 z)) t)
x
(+ x (* 2 (/ z t)))
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(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
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(* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))
(* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))
(* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))
(* -1 (+ (log (/ -1/2 z)) (* -1 (log (/ 1 t)))))
(* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))
(* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))
(* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))
(* -1 (+ (log (/ 1/2 z)) (* -1 (log (/ -1 t)))))
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(* -1 (+ (log (* -1/2 t)) (* -1 (log z))))
(* -1 (+ (log (* -1/2 t)) (* -1 (log z))))
(* -1 (+ (log (* -1/2 t)) (* -1 (log z))))
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(* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))
(* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))
(* -1 (+ (log (* -1/2 t)) (log (/ 1 z))))
(* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))
(* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))
(* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))
(* -1 (+ (log (* 1/2 t)) (log (/ -1 z))))
(+ (log t) (log (/ -1/2 z)))
(+ (log t) (log (/ -1/2 z)))
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(+ (log t) (log (/ -1/2 z)))
(+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))
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(+ (log (/ -1/2 z)) (* -1 (log (/ 1 t))))
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(+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))
(+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))
(+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))
(+ (log (/ 1/2 z)) (* -1 (log (/ -1 t))))
(+ (log (* -1/2 t)) (* -1 (log z)))
(+ (log (* -1/2 t)) (* -1 (log z)))
(+ (log (* -1/2 t)) (* -1 (log z)))
(+ (log (* -1/2 t)) (* -1 (log z)))
(+ (log (* -1/2 t)) (log (/ 1 z)))
(+ (log (* -1/2 t)) (log (/ 1 z)))
(+ (log (* -1/2 t)) (log (/ 1 z)))
(+ (log (* -1/2 t)) (log (/ 1 z)))
(+ (log (* 1/2 t)) (log (/ -1 z)))
(+ (log (* 1/2 t)) (log (/ -1 z)))
(+ (log (* 1/2 t)) (log (/ -1 z)))
(+ (log (* 1/2 t)) (log (/ -1 z)))
(* t y)
(* t y)
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(* -1/2 t)
(* -1/2 t)
(* -1/2 t)
(* -1/2 t)
(* -1/2 t)
(* -1/2 t)
(* -1/2 t)

Outputs
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) (.f64 t (*.f64 t y))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(fma.f64 z (fma.f64 (.f64 z z) (fma.f64 (.f64 z z) (/.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 y y)))) (/.f64 #s(literal 4 binary64) (.f64 t (.f64 t y)))) (/.f64 #s(literal 2 binary64) t)) x)
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+.f64 x (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 t (.f64 y y))) (.f64 z z)) y) z))
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5))))))
(fma.f64 t (fma.f64 (/.f64 (.f64 y (.f64 y y)) (pow.f64 z #s(literal 5 binary64))) (.f64 #s(literal -1/4 binary64) t) (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 z (*.f64 z z)))) (-.f64 x (/.f64 y z)))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)))
(-.f64 x (/.f64 (fma.f64 (.f64 t #s(literal 1/2 binary64)) (/.f64 (.f64 y y) (*.f64 z z)) y) z))
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
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x
(+ x (* -1 (/ y z)))
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(fma.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 t (.f64 z z))) #s(literal -1 binary64)) z) x)
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))))
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(+ x (* 2 (/ z t)))
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(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))))
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(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))))
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 z #s(literal 7 binary64)) (.f64 (.f64 y y) (.f64 y (pow.f64 t #s(literal 4 binary64))))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (.f64 t t) (.f64 t (.f64 y y)))) (fma.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) (.f64 t (.f64 t y))) (/.f64 #s(literal 2 binary64) t)) x)))
(+ x (* 2 (/ z t)))
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(fma.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) (.f64 t (*.f64 t y))) (/.f64 #s(literal 2 binary64) t)) x)
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z t) x) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 t (.f64 t (.f64 t y)))) (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -4 binary64)) (*.f64 t t))) y))
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))))
(-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 z t) x) (/.f64 (-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal -4 binary64)) (.f64 t t)) (/.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 t (.f64 t t))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 7 binary64))) (.f64 y (pow.f64 t #s(literal 4 binary64))))) y)) y))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))))
(+.f64 x (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 t (.f64 y y))) (.f64 z z)) y) z))
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))))
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(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))))
(fma.f64 t (fma.f64 t (fma.f64 t (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 y (.f64 y y))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal -1/2 binary64)) (.f64 z (.f64 z z)))) (-.f64 x (/.f64 y z)))
x
(+ x (* 2 (/ z t)))
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(fma.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) (.f64 t (*.f64 t y))) (/.f64 #s(literal 2 binary64) t)) x)
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(fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 z #s(literal 5 binary64)) (.f64 (.f64 t t) (.f64 t (.f64 y y)))) (fma.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 z z) (.f64 t (*.f64 t y))) (/.f64 #s(literal 2 binary64) t)) x))
x
(+ x (* 2 (/ z t)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)))
(-.f64 x (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 z z) (/.f64 z (.f64 t y))) (.f64 z #s(literal -2 binary64))) t))
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)))
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(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 z y)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y))) x)
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y))) x)
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))))
(fma.f64 (.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 t y))) x)
x
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(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))
(* -1/2 t)
(*.f64 t #s(literal -1/2 binary64))

eval236.0ms (2.2%)

Memory: 21.6MiB live, 206.7MiB allocated
Compiler: Compiled 19 514 to 1 742 computations (91.1% saved)

prune103.0ms (1%)

Memory

11.1MiB live, 209.6MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 078	5	1 083
Fresh	1	2	3
Picked	3	2	5
Done	0	2	2
Total	1 082	11	1 093

Accuracy

99.8%

Counts

1 093 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.2%	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
✓	21.5%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
▶	16.0%	(/.f64 (*.f64 z #s(literal 2 binary64)) t)
✓	66.1%	(-.f64 x (/.f64 y z))
▶	56.1%	(-.f64 x (/.f64 #s(literal -2 binary64) (/.f64 t z)))
	33.6%	(-.f64 x (exp.f64 (log.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))))))
	22.5%	(.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) y)
▶	64.9%	(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64)))
▶	63.3%	(.f64 x (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) #s(literal 1 binary64)))
✓	63.5%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 z x))))
✓	69.8%	x

Compiler

Compiled 225 to 159 computations (29.3% saved)

simplify795.0ms (7.4%)

Memory

-6.2MiB live, 948.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 z x))
✓	cost-diff	128	(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
✓	cost-diff	192	(fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal 1 binary64))
✓	cost-diff	704	(.f64 x (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 t z)
✓	cost-diff	192	(-.f64 x (/.f64 #s(literal -2 binary64) (/.f64 t z)))
✓	cost-diff	320	(/.f64 #s(literal -2 binary64) (/.f64 t z))
✓	cost-diff	0	(/.f64 z t)
✓	cost-diff	0	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
✓	cost-diff	-64	(*.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 z #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	512	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64))
✓	cost-diff	704	(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64)))

Rules

33 464×	`accelerator-lowering-fma.f32`
33 464×	`accelerator-lowering-fma.f64`
3 312×	`-lowering-.f32`
3 312×	`-lowering-.f64`
2 128×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	112
1	69	108
2	170	104
3	526	96
4	1185	96
5	1828	96
6	2947	96
7	3900	96
8	5189	96
9	5991	96
10	6380	96
11	6570	96
12	6628	96
13	6684	96
14	6874	96
15	7231	96
16	7433	96
17	7433	96
18	7433	96
0	8274	94

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ (* (/ -1 x) (/ y z)) 1))
x
(+ (* (/ -1 x) (/ y z)) 1)
(/ -1 x)
-1
(/ y z)
y
z
1
(/ (* z 2) t)
(* z 2)
z
2
t
(+ (* (/ z t) 2) x)
(/ z t)
z
t
2
x
(- x (/ -2 (/ t z)))
x
(/ -2 (/ t z))
-2
(/ t z)
t
z
(* x (+ (* y (neg (/ 1 (* z x)))) 1))
x
(+ (* y (neg (/ 1 (* z x)))) 1)
y
(neg (/ 1 (* z x)))
(/ 1 (* z x))
1
(* z x)
z

Outputs
(* x (+ (* (/ -1 x) (/ y z)) 1))
(-.f64 x (/.f64 y z))
x
(+ (* (/ -1 x) (/ y z)) 1)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 x z #s(literal 0 binary64))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(/ y z)
(/.f64 y z)
y
z
1
#s(literal 1 binary64)
(/ (* z 2) t)
(fma.f64 #s(literal 2 binary64) (/.f64 z t) #s(literal 0 binary64))
(* z 2)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
z
2
#s(literal 2 binary64)
t
(+ (* (/ z t) 2) x)
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
(/ z t)
(/.f64 z t)
z
t
2
#s(literal 2 binary64)
x
(- x (/ -2 (/ t z)))
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x)
x
(/ -2 (/ t z))
(fma.f64 (/.f64 z t) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(/ t z)
(/.f64 t z)
t
z
(* x (+ (* y (neg (/ 1 (* z x)))) 1))
(-.f64 x (/.f64 y z))
x
(+ (* y (neg (/ 1 (* z x)))) 1)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 x z #s(literal 0 binary64))))
y
(neg (/ 1 (* z x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x z #s(literal 0 binary64)))
(/ 1 (* z x))
(/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* z x)
(fma.f64 x z #s(literal 0 binary64))
z

localize81.0ms (0.8%)

Memory

-2.7MiB live, 150.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 z x))
✓	accuracy	95.4%	(fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal 1 binary64))
✓	accuracy	92.1%	(.f64 x (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 t z)
✓	accuracy	100.0%	(-.f64 x (/.f64 #s(literal -2 binary64) (/.f64 t z)))
✓	accuracy	99.2%	(/.f64 #s(literal -2 binary64) (/.f64 t z))
✓	accuracy	100.0%	(/.f64 z t)
✓	accuracy	100.0%	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 (*.f64 z #s(literal 2 binary64)) t)
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	96.1%	(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64))
✓	accuracy	92.1%	(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64)))

Samples

53.0ms

256×

valid

Compiler

Compiled 112 to 29 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 14.0ms (40.7% of total)

ival-mult: 13.0ms (37.8% of total)

ival-add: 3.0ms (8.7% of total)

ival-sub: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

15 → 408

Calls

Call 1

Inputs
#<alt (* x (+ (* (/ -1 x) (/ y z)) 1))>
#<alt (+ (* (/ -1 x) (/ y z)) 1)>
#<alt (/ -1 x)>
#<alt (/ y z)>
#<alt (/ (* z 2) t)>
#<alt (* z 2)>
#<alt (+ (* (/ z t) 2) x)>
#<alt (/ z t)>
#<alt (/ -2 (/ t z))>
#<alt (- x (/ -2 (/ t z)))>
#<alt (/ t z)>
#<alt (* x (+ (* y (neg (/ 1 (* z x)))) 1))>
#<alt (+ (* y (neg (/ 1 (* z x)))) 1)>
#<alt (neg (/ 1 (* z x)))>
#<alt (/ 1 (* z x))>

Outputs
#<alt (* -1 (/ y z))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y (* x z)))>
#<alt (/ (+ x (* -1 (/ y z))) x)>
#<alt (/ (+ x (* -1 (/ y z))) x)>
#<alt (/ (+ x (* -1 (/ y z))) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (* y (- (/ 1 y) (/ 1 (* x z))))>
#<alt (* y (- (/ 1 y) (/ 1 (* x z))))>
#<alt (* y (- (/ 1 y) (/ 1 (* x z))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (/ (+ z (* -1 (/ y x))) z)>
#<alt (/ (+ z (* -1 (/ y x))) z)>
#<alt (/ (+ z (* -1 (/ y x))) z)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* 2 (/ z t))>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt (/ (+ (* 2 z) (* t x)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (/ z t)>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* -2 (/ z t))>
#<alt (* 2 (/ z t))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt (- x (* -2 (/ z t)))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt (* x (+ 1 (* 2 (/ z (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* -1 (* x (- (* -2 (/ z (* t x))) 1)))>
#<alt (* 2 (/ z t))>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt (/ (- (* t x) (* -2 z)) t)>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt x>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (+ x (* 2 (/ z t)))>
#<alt (* 2 (/ z t))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* z (+ (* 2 (/ 1 t)) (/ x z)))>
#<alt (* 2 (/ z t))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (* -1 (/ y z))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt (* x (+ 1 (* -1 (/ y (* x z)))))>
#<alt x>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt (* -1 (* x (- (/ y (* x z)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* y (- (/ x y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt (/ (+ (* -1 y) (* x z)) z)>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt x>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt (+ x (* -1 (/ y z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (* y (- (/ 1 y) (/ 1 (* x z))))>
#<alt (* y (- (/ 1 y) (/ 1 (* x z))))>
#<alt (* y (- (/ 1 y) (/ 1 (* x z))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (/ (+ z (* -1 (/ y x))) z)>
#<alt (/ (+ z (* -1 (/ y x))) z)>
#<alt (/ (+ z (* -1 (/ y x))) z)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (* -1 (/ y (* x z)))>
#<alt (/ (+ x (* -1 (/ y z))) x)>
#<alt (/ (+ x (* -1 (/ y z))) x)>
#<alt (/ (+ x (* -1 (/ y z))) x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (+ 1 (* -1 (/ y (* x z))))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ -1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>

Calls

102 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* x (+ (* (/ -1 x) (/ y z)) 1))
0.0ms	z	@	0	(neg (/ 1 (* z x)))
0.0ms	z	@	-inf	(/ z t)
0.0ms	z	@	inf	(neg (/ 1 (* z x)))
0.0ms	x	@	0	(/ -1 x)

rewrite381.0ms (3.6%)

Memory

-8.1MiB live, 577.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 908×	`accelerator-lowering-fma.f32`
4 908×	`accelerator-lowering-fma.f64`
4 694×	`-lowering-.f32`
4 694×	`-lowering-.f64`
4 148×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	89
1	154	81
2	1332	81
0	8411	79

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 678

Calls

Call 1

Inputs
(* x (+ (* (/ -1 x) (/ y z)) 1))
(+ (* (/ -1 x) (/ y z)) 1)
(/ -1 x)
(/ y z)
(/ (* z 2) t)
(* z 2)
(+ (* (/ z t) 2) x)
(/ z t)
(/ -2 (/ t z))
(- x (/ -2 (/ t z)))
(/ t z)
(* x (+ (* y (neg (/ 1 (* z x)))) 1))
(+ (* y (neg (/ 1 (* z x)))) 1)
(neg (/ 1 (* z x)))
(/ 1 (* z x))

Outputs
(+.f64 x (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)))
(+.f64 (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)) x)
(-.f64 (/.f64 (.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x)) (-.f64 (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)) x)) (/.f64 (.f64 x x) (-.f64 (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)) x)))
(fma.f64 x #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x z))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y z) x) x)
(fma.f64 y (.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) x) x)
(fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal -1 binary64) x) x) x)
(fma.f64 #s(literal 1 binary64) x (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 y x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x z))) x x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 x z) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 x (*.f64 z #s(literal 1 binary64))) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 x x) x)
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 y z) x)
(fma.f64 (*.f64 x (/.f64 y z)) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (.f64 x y) (/.f64 #s(literal -1 binary64) (.f64 x z)) x)
(fma.f64 (.f64 x (/.f64 #s(literal -1 binary64) (.f64 x z))) y x)
(fma.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 x z)) x)
(fma.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) x)) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) z)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 x z)) x)
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) x) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) #s(literal 1 binary64)) (/.f64 x x) x)
(fma.f64 (/.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) y) z) x)
(fma.f64 (/.f64 x x) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 z #s(literal 1 binary64))) x)
(fma.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 0 binary64) y) x) x)
(fma.f64 (/.f64 x (*.f64 x z)) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)) x))) (fma.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)) x) (-.f64 (.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x)) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64)) (.f64 x (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z)))) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (/.f64 y (*.f64 x z)) x)) x))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x)) (.f64 x x)) (-.f64 (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)) x))
(/.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64))) (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))))
(/.f64 (.f64 x (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) x) (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64)) x) (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (/.f64 y (*.f64 x z)) x)) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x)) (.f64 x x))) (neg.f64 (-.f64 (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)) x)))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))))
(/.f64 (neg.f64 (.f64 x (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)))) (fma.f64 x x (-.f64 (.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x)) (.f64 x (neg.f64 (.f64 (/.f64 y (*.f64 x z)) x))))))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z))) x)
(.f64 (fma.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x) (-.f64 (.f64 x x) (.f64 (neg.f64 (.f64 (/.f64 y (.f64 x z)) x)) x)))))
(.f64 (-.f64 (.f64 (.f64 (/.f64 y (.f64 x z)) x) (.f64 (/.f64 y (.f64 x z)) x)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (.f64 (/.f64 y (*.f64 x z)) x)) x)))
(.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z))))))
(.f64 (.f64 x (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z))))))
(.f64 (.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x z))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))) (/.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))))
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (*.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x z)) #s(literal 1 binary64))
(fma.f64 y (.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y z) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) y #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x z))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x z)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) y) z) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x z)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))) #s(literal 1 binary64))
(fma.f64 (.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x z)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x z)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1 binary64))
(fma.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 x z)) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 x z) (*.f64 x z))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 x z))) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) y)) (.f64 x z))))
(/.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 x z))) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) y)) (.f64 x z)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z)))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x z)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))))))
(.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 x z))) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) y)) (*.f64 x z)))))
(.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z)))))))
(.f64 (neg.f64 (+.f64 (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y (.f64 x z)) #s(literal -1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 x z) (.f64 x z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x z)))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x z))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z)))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z)))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)))
(/.f64 #s(literal -1 binary64) (*.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))))
(/.f64 (/.f64 #s(literal -1 binary64) x) z)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z))))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z))) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z))))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z))))))
(/.f64 (/.f64 #s(literal -1 binary64) z) x)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z)))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z))))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z))) (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (.f64 x z))))))
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z)))))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) (/.f64 #s(literal 1 binary64) (.f64 x z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z)))))
(exp.f64 (.f64 (log.f64 (.f64 x z)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (*.f64 x z))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) z) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) z)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (*.f64 x z) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 x z) (*.f64 x z)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x z))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x z)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x z)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 (.f64 x z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x z) #s(literal -1/2 binary64)))

simplify277.0ms (2.6%)

Memory

-1.0MiB live, 480.6MiB allocated

Algorithm

1×	egg-herbie

Rules

5 230×	`accelerator-lowering-fma.f32`
5 230×	`accelerator-lowering-fma.f64`
3 978×	`-lowering-.f32`
3 978×	`-lowering-.f64`
1 414×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	2052
1	193	1944
2	504	1944
3	1464	1944
4	3420	1944
5	6121	1944
6	7664	1944
0	8141	1890

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* -1 (/ y z))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(* -1 (/ y z))
(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* x z)) z)
(/ (+ (* -1 y) (* x z)) z)
(/ (+ (* -1 y) (* x z)) z)
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(* -1 (/ y (* x z)))
(/ (+ x (* -1 (/ y z))) x)
(/ (+ x (* -1 (/ y z))) x)
(/ (+ x (* -1 (/ y z))) x)
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(* -1 (/ y (* x z)))
(* y (- (/ 1 y) (/ 1 (* x z))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(* -1 (/ y (* x z)))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(* -1 (/ y (* x z)))
(/ (+ z (* -1 (/ y x))) z)
(/ (+ z (* -1 (/ y x))) z)
(/ (+ z (* -1 (/ y x))) z)
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* 2 (/ z t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* 2 (/ z t))
(- x (* -2 (/ z t)))
(- x (* -2 (/ z t)))
(- x (* -2 (/ z t)))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* 2 (/ z t))
(/ (- (* t x) (* -2 z)) t)
(/ (- (* t x) (* -2 z)) t)
(/ (- (* t x) (* -2 z)) t)
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(* 2 (/ z t))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(* -1 (/ y z))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
(* x (+ 1 (* -1 (/ y (* x z)))))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
(* -1 (* x (- (/ y (* x z)) 1)))
x
(+ x (* -1 (/ y z)))
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(+ x (* -1 (/ y z)))
(* -1 (/ y z))
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(* y (- (/ x y) (/ 1 z)))
(* y (- (/ x y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* x z)) z)
(/ (+ (* -1 y) (* x z)) z)
(/ (+ (* -1 y) (* x z)) z)
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ y z)))
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(* -1 (/ y (* x z)))
(* y (- (/ 1 y) (/ 1 (* x z))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(* -1 (/ y (* x z)))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(* -1 (/ y (* x z)))
(/ (+ z (* -1 (/ y x))) z)
(/ (+ z (* -1 (/ y x))) z)
(/ (+ z (* -1 (/ y x))) z)
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(* -1 (/ y (* x z)))
(/ (+ x (* -1 (/ y z))) x)
(/ (+ x (* -1 (/ y z))) x)
(/ (+ x (* -1 (/ y z))) x)
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
1
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(+ 1 (* -1 (/ y (* x z))))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ -1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))
(/ 1 (* x z))

Outputs
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
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(-.f64 x (/.f64 y z))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(* -1 (/ y (* x z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ x (* -1 (/ y z))) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ x (* -1 (/ y z))) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ x (* -1 (/ y z))) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (/ y (* x z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (/ y (* x z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (/ y (* x z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ z (* -1 (/ y x))) z)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ z (* -1 (/ y x))) z)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ z (* -1 (/ y x))) z)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 z)
(fma.f64 z #s(literal 2 binary64) #s(literal 0 binary64))
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(/ (+ (* 2 z) (* t x)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/ (+ (* 2 z) (* t x)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/ (+ (* 2 z) (* t x)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(/ z t)
(/.f64 z t)
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* -2 (/ z t))
(fma.f64 z (/.f64 #s(literal -2 binary64) t) #s(literal 0 binary64))
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(- x (* -2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* x (+ 1 (* 2 (/ z (* t x)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(/ (- (* t x) (* -2 z)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/ (- (* t x) (* -2 z)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/ (- (* t x) (* -2 z)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
x
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(+ x (* 2 (/ z t)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* z (+ (* 2 (/ 1 t)) (/ x z)))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* 2 (/ z t))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) #s(literal 0 binary64))
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t)))))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
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(/ t z)
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(/ t z)
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(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
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(/ t z)
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(/ t z)
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(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
x
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
(* x (+ 1 (* -1 (/ y (* x z)))))
(-.f64 x (/.f64 y z))
x
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
(* -1 (* x (- (/ y (* x z)) 1)))
(-.f64 x (/.f64 y z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* y (- (/ x y) (/ 1 z)))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (/ 1 z))))
(-.f64 x (/.f64 y z))
(* -1 (/ y z))
(/.f64 y (-.f64 #s(literal 0 binary64) z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
(/ (+ (* -1 y) (* x z)) z)
(-.f64 x (/.f64 y z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
x
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
(+ x (* -1 (/ y z)))
(-.f64 x (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (/ y (* x z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* y (- (/ 1 y) (/ 1 (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (/ y (* x z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (* y (- (/ 1 (* x z)) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (/ y (* x z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ z (* -1 (/ y x))) z)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ z (* -1 (/ y x))) z)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ z (* -1 (/ y x))) z)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(* -1 (/ y (* x z)))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ x (* -1 (/ y z))) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ x (* -1 (/ y z))) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ (+ x (* -1 (/ y z))) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(+ 1 (* -1 (/ y (* x z))))
(-.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ -1 (* x z))
(/.f64 #s(literal -1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 z x #s(literal 0 binary64)))

eval140.0ms (1.3%)

Memory: 18.8MiB live, 356.8MiB allocated
Compiler: Compiled 16 018 to 1 305 computations (91.9% saved)

prune81.0ms (0.8%)

Memory

-8.3MiB live, 216.9MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 084	2	1 086
Fresh	0	2	2
Picked	1	4	5
Done	0	4	4
Total	1 085	12	1 097

Accuracy

99.8%

Counts

1 097 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.2%	(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
	56.1%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 y x) x)
✓	21.5%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
✓	16.0%	(/.f64 (*.f64 z #s(literal 2 binary64)) t)
✓	66.1%	(-.f64 x (/.f64 y z))
✓	56.1%	(-.f64 x (/.f64 #s(literal -2 binary64) (/.f64 t z)))
	33.6%	(-.f64 x (exp.f64 (log.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))))))
	22.5%	(.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) y)
✓	64.9%	(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64)))
	35.1%	(.f64 x (fma.f64 y (neg.f64 (exp.f64 (.f64 (log.f64 (*.f64 x z)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
✓	63.5%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 z x))))
✓	69.8%	x

Compiler

Compiled 385 to 195 computations (49.4% saved)

regimes94.0ms (0.9%)

Memory

2.6MiB live, 41.4MiB allocated

Counts

23 → 3

Calls

Call 1

Inputs
x
(-.f64 x (/.f64 y z))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 z x))))
(-.f64 x (/.f64 #s(literal -2 binary64) (/.f64 t z)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 y x) x)
(.f64 x (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) y)
(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
(fma.f64 (/.f64 z (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (*.f64 y #s(literal 2 binary64)) x)
(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x)
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(fma.f64 y (.f64 (.f64 z #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64))))) x)
(-.f64 x (exp.f64 (log.f64 (/.f64 z (*.f64 t #s(literal -1/2 binary64))))))
(-.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))))
(.f64 x (fma.f64 y (neg.f64 (exp.f64 (.f64 (log.f64 (*.f64 x z)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 x (exp.f64 (.f64 (log.f64 (/.f64 (.f64 t #s(literal -1/2 binary64)) z)) #s(literal -1 binary64))))

Outputs
(-.f64 x (/.f64 y z))
(fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x)
(-.f64 x (/.f64 y z))

Calls

6 calls:

58.0ms	t
7.0ms	z
7.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
89.5%	1	`x`
89.5%	1	`y`
95.7%	3	`z`
89.5%	1	`t`
94.0%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
94.0%	2	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes6.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
x
(-.f64 x (/.f64 y z))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 z x))))
(-.f64 x (/.f64 #s(literal -2 binary64) (/.f64 t z)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 y x) x)
(.f64 x (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) y)
(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))
(fma.f64 (/.f64 z (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (*.f64 y #s(literal 2 binary64)) x)

Outputs
(-.f64 x (/.f64 y z))
(fma.f64 (/.f64 z (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (*.f64 y #s(literal 2 binary64)) x)
(-.f64 x (/.f64 y z))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.6%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes38.0ms (0.4%)

Memory

-27.6MiB live, 50.3MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
x
(-.f64 x (/.f64 y z))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(-.f64 x (/.f64 (*.f64 #s(literal -2 binary64) z) t))
(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 z x))))
(-.f64 x (/.f64 #s(literal -2 binary64) (/.f64 t z)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 y x) x)
(.f64 x (fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 z x))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 y t))) y)
(/.f64 (.f64 y (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 z z) (.f64 y t)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) z) y) (fma.f64 z (.f64 z #s(literal -2 binary64)) (.f64 t y)))

Outputs
(-.f64 x (/.f64 y z))
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x)
(-.f64 x (/.f64 y z))

Calls

6 calls:

11.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
7.0ms	x
5.0ms	z
5.0ms	t
5.0ms	y

Results

Accuracy	Segments	Branch
80.6%	4	`x`
76.1%	4	`y`
78.4%	4	`t`
81.7%	5	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
74.3%	2	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
87.7%	3	`z`

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes3.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
x
(-.f64 x (/.f64 y z))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)

Outputs
(-.f64 x (/.f64 y z))
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x)
(-.f64 x (/.f64 y z))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
(-.f64 x (/.f64 y z))
(*.f64 z (/.f64 #s(literal 2 binary64) t))
(/.f64 (*.f64 z #s(literal 2 binary64)) t)

Outputs
(-.f64 x (/.f64 y z))
x
(-.f64 x (/.f64 y z))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.7%	3	`z`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

6 calls:

1.0ms	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
1.0ms	x
1.0ms	y
1.0ms	z
1.0ms	t

Results

Accuracy	Segments	Branch
69.8%	1	`y`
69.8%	1	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
69.8%	1	`t`
69.8%	1	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
69.8%	1	`x`
69.8%	1	`z`

Compiler

Compiled 60 to 41 computations (31.7% saved)

bsearch32.0ms (0.3%)

Memory

18.3MiB live, 56.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.816989063919115e+134	1.2001792044028565e+140
13.0ms	-7.315063627228405e+117	-1.406399701234709e+116

Samples

20.0ms

256×

valid

Compiler

Compiled 504 to 340 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (66.9% of total)

ival-div: 2.0ms (16.7% of total)

ival-sub: 2.0ms (16.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory

-14.1MiB live, 58.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.816989063919115e+134	1.2001792044028565e+140
14.0ms	-7.315063627228405e+117	-1.406399701234709e+116

Samples

19.0ms

256×

valid

Compiler

Compiled 504 to 340 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (66.4% of total)

ival-div: 2.0ms (16.6% of total)

ival-sub: 2.0ms (16.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory

4.8MiB live, 88.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1718361433143.0562	1.2068766515507089e+37
19.0ms	-3.0486491254555347e+31	-1.074868624130368e+25

Samples

25.0ms

320×

valid

Compiler

Compiled 444 to 320 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (60.8% of total)

ival-sub: 3.0ms (20.3% of total)

ival-div: 2.0ms (13.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory

-2.0MiB live, 73.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1718361433143.0562	1.2068766515507089e+37
16.0ms	-3.0486491254555347e+31	-1.074868624130368e+25

Samples

24.0ms

320×

valid

Compiler

Compiled 444 to 320 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 11.0ms (69.2% of total)

ival-sub: 3.0ms (18.9% of total)

ival-div: 2.0ms (12.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Memory

32.5MiB live, 98.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	6.216024333716814e-67	3.981579043357247e-54
18.0ms	-11573694.815437682	-222.11515682701048

Samples

35.0ms

288×

valid

Compiler

Compiled 312 to 236 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 13.0ms (75.6% of total)

ival-div: 2.0ms (11.6% of total)

ival-sub: 2.0ms (11.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify269.0ms (2.5%)

Memory

-72.6MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
10×	`if-if-or-not_binary32`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	114
1	76	114
2	85	114
3	91	114
4	96	114
5	98	114

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal -7200000000000000252011842518274032934571192593359409702865191756267599155635559873744886756148400709573528551723892736 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 96000000000000003152789998963672903582753206370522722769182088920839712662283647572224126300261831617659152459294953815550255100884303216640 binary64)) (fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -6199999999999999501536182861715183321142242884917569510830492395717386735411880416735693635243043058796894791109967872 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 22200000000000000068026718470100760001596370940412339811968675098662964268504298226671037970624202736394468566496673222254784467056136814592 binary64)) (fma.f64 (/.f64 z (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (*.f64 y #s(literal 2 binary64)) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -15999999999999999731564544 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 10200000000000 binary64)) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -18499999999999999558625001472 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 5799999999999999580569600 binary64)) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -210000 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 2460581896292969/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) x (-.f64 x (/.f64 y z))))
x

Outputs
(if (<=.f64 z #s(literal -7200000000000000252011842518274032934571192593359409702865191756267599155635559873744886756148400709573528551723892736 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 96000000000000003152789998963672903582753206370522722769182088920839712662283647572224126300261831617659152459294953815550255100884303216640 binary64)) (fma.f64 (/.f64 (.f64 z #s(literal 2 binary64)) (fma.f64 z (.f64 z #s(literal -2 binary64)) (*.f64 y t))) y x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -6199999999999999501536182861715183321142242884917569510830492395717386735411880416735693635243043058796894791109967872 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 22200000000000000068026718470100760001596370940412339811968675098662964268504298226671037970624202736394468566496673222254784467056136814592 binary64)) (fma.f64 (/.f64 z (fma.f64 y t (.f64 (.f64 z z) #s(literal -2 binary64)))) (*.f64 y #s(literal 2 binary64)) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -6199999999999999501536182861715183321142242884917569510830492395717386735411880416735693635243043058796894791109967872 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 22200000000000000068026718470100760001596370940412339811968675098662964268504298226671037970624202736394468566496673222254784467056136814592 binary64)) (fma.f64 (/.f64 z (fma.f64 y t (.f64 #s(literal -2 binary64) (.f64 z z)))) (*.f64 y #s(literal 2 binary64)) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -15999999999999999731564544 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 10200000000000 binary64)) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -18499999999999999558625001472 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 5799999999999999580569600 binary64)) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) (-.f64 x (/.f64 y z))))
(if (<=.f64 z #s(literal -210000 binary64)) (-.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 2460581896292969/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) x (-.f64 x (/.f64 y z))))
x

soundness645.0ms (6%)

Memory

15.0MiB live, 525.3MiB allocated

Rules

10 952×	`accelerator-lowering-fma.f32`
10 952×	`accelerator-lowering-fma.f64`
8 416×	`accelerator-lowering-fma.f32`
8 416×	`accelerator-lowering-fma.f64`
7 666×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	2176
1	1030	2127
2	3143	2097
0	8611	1977
0	24	87
1	134	83
2	1126	83
0	8548	76
0	13	49
1	63	49
2	533	49
3	7409	49
0	8775	46

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 250 to 133 computations (46.8% saved)

preprocess76.0ms (0.7%)

Memory: -8.9MiB live, 151.5MiB allocated
Compiler: Compiled 352 to 158 computations (55.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze233.0ms (2.2%)

sample2.0s (18.6%)

preprocess298.0ms (2.8%)

explain345.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify105.0ms (1%)

localize37.0ms (0.3%)

series21.0ms (0.2%)

rewrite460.0ms (4.3%)

simplify411.0ms (3.8%)

eval69.0ms (0.6%)

prune81.0ms (0.8%)

simplify129.0ms (1.2%)

localize82.0ms (0.8%)

series25.0ms (0.2%)

rewrite656.0ms (6.1%)

simplify672.0ms (6.3%)

eval95.0ms (0.9%)

prune70.0ms (0.7%)

simplify218.0ms (2%)

localize118.0ms (1.1%)

series151.0ms (1.4%)

rewrite401.0ms (3.7%)

simplify592.0ms (5.5%)

eval236.0ms (2.2%)

prune103.0ms (1%)

simplify795.0ms (7.4%)

localize81.0ms (0.8%)

series11.0ms (0.1%)

rewrite381.0ms (3.6%)

simplify277.0ms (2.6%)

eval140.0ms (1.3%)

prune81.0ms (0.8%)

regimes94.0ms (0.9%)

regimes6.0ms (0.1%)

regimes38.0ms (0.4%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch42.0ms (0.4%)

bsearch40.0ms (0.4%)

bsearch47.0ms (0.4%)

simplify269.0ms (2.5%)

soundness645.0ms (6%)

preprocess76.0ms (0.7%)

end0.0ms (0%)

Profiling